Search a number
-
+
990009900099 = 331131372906161
BaseRepresentation
bin11100110100000010011…
…00000011110001000011
310111122101111021202202000
432122001030003301003
5112210020013300344
62034445415555043
7131345240206233
oct16320114036103
93448344252660
10990009900099
11351951862a90
1213ba5438ba83
137248566661c
1435cb973dcc3
151ab446b1a69
hexe681303c43

990009900099 has 64 divisors (see below), whose sum is σ = 1696268636160. Its totient is φ = 564957504000.

The previous prime is 990009900059. The next prime is 990009900101.

990009900099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 990009900099 - 29 = 990009899587 is a prime.

990009900099 is a modest number, since divided by 9900099 gives 99 as remainder.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (990009900059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1112422 + ... + 1793739.

It is an arithmetic number, because the mean of its divisors is an integer number (26504197440).

Almost surely, 2990009900099 is an apocalyptic number.

990009900099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

990009900099 is a deficient number, since it is larger than the sum of its proper divisors (706258736061).

990009900099 is a wasteful number, since it uses less digits than its factorization.

990009900099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906249 (or 2906243 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The spelling of 990009900099 in words is "nine hundred ninety billion, nine million, nine hundred thousand, ninety-nine".

Divisors: 1 3 9 11 27 31 33 37 93 99 111 279 297 333 341 407 837 999 1023 1147 1221 3069 3441 3663 9207 10323 10989 12617 30969 37851 113553 340659 2906161 8718483 26155449 31967771 78466347 90090991 95903313 107527957 270272973 287709939 322583871 810818919 863129817 967751613 991000901 1182807527 2432456757 2903254839 2973002703 3333366667 3548422581 8919008109 10000100001 10645267743 26757024327 30000300003 31935803229 36667033337 90000900009 110001100011 330003300033 990009900099